| 几种模糊传递关系的收敛性 |
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| 引用本文： | 李军,范周田. 几种模糊传递关系的收敛性[J]. 数学的实践与认识, 2003, 33(1): 67-72 |
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| 作者姓名： | 李军 范周田 |
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| 作者单位： | 1. 装甲兵工程学院数学教研室,北京,100072
2. 北京工业大学应用数理学院,北京,100022 |
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| 摘 要： | 本文对几种模糊传递关系进行比较 ,从一个侧面说明了用于构造偏好关系的模糊关系应是互逆关系 .文中证明了对任意的 n阶互逆传递模糊关系 R,必有 Rn=Rn+1 .
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| 关 键 词： | 模糊传递关系 偏好关系 收敛性 |
| 修稿时间： | 2002-04-19 |
The Convergence of Some Kinds of Fuzzy Transitive Relations |
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| LI Jun,FAN Zhou-tian. The Convergence of Some Kinds of Fuzzy Transitive Relations[J]. Mathematics in Practice and Theory, 2003, 33(1): 67-72 |
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| Authors: | LI Jun FAN Zhou-tian |
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| Affiliation: | LI Jun1,FAN Zhou-tian2 |
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| Abstract: | In this paper some kinds of fuzzy transitive relations are compared with each other. It is pointed out, in one aspect, that the fuzzy relation used to construct a preference relation should be reciprocal. It is proved that RnR n 1 , where R is any reciprocal transitive fuzzy relation of order n. |
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| Keywords: | fuzzy transitive relation preference relation convergence |
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